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Q.

If the distance covered by the rickshaw in an hour is 10 km, then the distance covered by the same rickshaw travelling at the same speed in one minute is


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a

250 9 m

b

500 9 m

c

750 9 m

d

500 3 m  

answer is D.

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Detailed Solution

It is given that the distance covered by the rickshaw in an hour is 10 km.
We know that if two quantities x and y vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e. x y =k, where k is a constant positive number.
In case of direct proportion, if y 1 , y 2 are the values of y corresponding to the values x 1 , x 2 of x respectively, then
x 1 y 1 = x 2 y 2
It is given that the distance covered by the rickshaw in 1 hour = 10 km.
Therefore, the distance covered by the rickshaw in 60 min = 10×1000=10000 m. Thus, the distance covered by the rickshaw in 1 min = 10000 60 = 500 3  m. Therefore, the distance covered by the same rickshaw travelling at the same speed in one minute is 500 3  m.
Hence, option (4) is correct.
 
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